SUMMATION OF LEADING LOGARITHMS AT SMALL x
SUMMATION OF LEADING LOGARITHMS AT SMALL x
复制标题
小 x 处的领先对数的求和
DOI：
10.1016/0370-2693(95)00395-2
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发表时间：
1995
影响因子：
4.4
通讯作者：
S. Forte
中科院分区：
文献类型：
--
作者：
R. Ball;S. Forte
我们展示了如何重新组织摄动理论以给出分裂函数，其中包括x的所有领先对数的有序收敛和。这给出了部分子分布的领先扭曲演化方程，该方程将x和Q2的所有领先对数求和，允许稳定的扰动演化到任意小的x值。扰动演化随后产生在HERA观察到的f2的双标度上升。而在固定q2的形式极限x→0下，最终再现了Lipatov xf-λ行为。因此，我们能够解释为什么阶摄动理论在HERA区域如此有效。
We show how perturbation theory may be reorganized to give splitting functions which include order by order convergent sums of all leading logarithms of x. This gives a leading twist evolution equation for parton distributions which sums all leading logarithms of x and Q2, allowing stable perturbative evolution down to arbitrarily small values of x. Perturbative evolution then generates the double scaling rise of F2observed at HERA, while in the formal limit x → 0 at fixed Q2the Lipatov xf-λbehaviour is eventually reproduced. We are thus able to explain why leading order perturbation theory works so well in the HERA region.